Patients receive UCN-01 IV over 72 hours on days 1-3 alone during course 1 and over 36 hours on days 1-2 during courses 2-7. Patients also receive fludarabine IV over 30 minutes beginning on day 1 and continuing for up to 5 days during courses 2-7. Courses repeat every 28 days in the absence of unacceptable toxicity or disease progression.